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The Scott conjecture for large Coulomb systems: a review

Frank, Rupert L. and Merz, Konstantin and Siedentop, Heinz (2023) The Scott conjecture for large Coulomb systems: a review. Letters in Mathematical Physics, 113 . Art. No. 11. ISSN 0377-9017. doi:10.1007/s11005-023-01631-9.

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We review some older and more recent results concerning the energy and particle distribution in ground states of heavy Coulomb systems. The reviewed results are asymptotic in nature: they describe properties of many-particle systems in the limit of a large number of particles. Particular emphasis is put on models that take relativistic kinematics into account. While non-relativistic models are typically rather well understood, this is generally not the case for relativistic ones and leads to a variety of open questions.

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Frank, Rupert L.0000-0001-7973-4688
Merz, Konstantin0000-0003-4841-8556
Siedentop, Heinz0000-0003-1422-7882
Additional Information:This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit Partial support through U.S. National Science Foundation grant DMS-1954995 (R.L.F.), by the Deutsche Forschungsgemeinschaft through Germany’s Excellence Strategy, grant EXC-2111-390814868 (R.L.F.& H.S.), and by the PRIME programme of the German Academic Exchange Service (DAAD) with funds from the German Federal Ministry of Education and Research (BMBF) (K.M.) is acknowledged. Open Access funding enabled and organized by Projekt DEAL.
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Deutsche Forschungsgemeinschaft (DFG)EXC-2111-390814868
Bundesministerium für Bildung und Forschung (BMBF)UNSPECIFIED
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ID Code:119188
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Deposited On:17 Mar 2023 15:00
Last Modified:17 Mar 2023 15:00

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